hi
can anyone help figure this out:
here is the (incomplete) truth table. can you finish it? if the last column has T in all its entries, then the statement in question is a tautology
$\displaystyle \begin{array}{|c|c|c|c|c|c|} \hline
A & B & C & A \implies B & B \implies C & \{ [(A \wedge (A \implies B)] \wedge (B \implies C) \} \implies C \\
\hline T & T & T & & & \\
\hline T & T & F & & & \\
\hline T & F & T & & & \\
\hline T & F & F & & & \\
\hline F & T & T & & & \\
\hline F & T & F & & & \\
\hline F & F & T & & & \\
\hline F & F & F & & & \\
\hline
\end{array}$